## Chinese Journal of Numerical Mathematics and Applications, Volume 12 |

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### Contents

Zhang Lei The Solvanility Conditions for the Inverse Problem of Symmetric Non | 1 |

He Yu A Downstairs Method for Finding a Global Minimiier of a Function | 8 |

Wu Yukua Symplectic Transformation and Symplectic Difference Schemes 23 | 23 |

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Academia Sinica Appl approximation B-net banded matrix Beijing Beijing Computing CAGD calculation Chinese common point Computing Center constant construct convergence convex function convex set corresponding curves defined denote derivatives differential equations discrete domain eigenvalues equivalent error estimate example exists Feng Kang finite difference finite element method finite element space flow formula geometric continuity grid Hamiltonian Hence holds IEPJM inequality integral interpolation inverse Jacobi matrix Lanczos algorithm Lemma linear Math Mathematics matrix Jn Newton's iteration nonlinear nonnegative notation numerical solution obtain operator order accuracy orthogonal matrix paper parameters PBLM piecewise polynomial positive Proof prove real symmetric banded respectively satisfies second order shock wave simulation sin2 singular solving sperm spline stability step stepsize superconvergence Suppose symplectic difference schemes term Theorem unique variable vector Wang zero Zhou Yu-Lin